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Finding the Fourth Proportional to 472.93, 709.50 and 180.55

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Solution

The fourth proportional to 472.93, 709.50 and 180.55 is: 270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.93 : 709.50 = 180.55 : x
  2. Step 2: Convert to fraction form
    472.93/709.50 = 180.55/x
  3. Step 3: Cross multiply
    472.93x = 709.50 × 180.55
  4. Step 4: Simplify right side
    472.93x = 128,100.23
  5. Step 5: Solve for x
    x = 128,100.23/472.93
  6. Step 6: Final answer
    x = 270.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.